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Finding the Fourth Proportional to 3,390.40, 4,679.64 and 2,065

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Solution

The fourth proportional to 3,390.40, 4,679.64 and 2,065 is: 2,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.40 : 4,679.64 = 2,065 : x
  2. Step 2: Convert to fraction form
    3,390.40/4,679.64 = 2,065/x
  3. Step 3: Cross multiply
    3,390.40x = 4,679.64 × 2,065
  4. Step 4: Simplify right side
    3,390.40x = 9,663,456.60
  5. Step 5: Solve for x
    x = 9,663,456.60/3,390.40
  6. Step 6: Final answer
    x = 2,850.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.